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Finding the Fourth Proportional to 15,683, 23,524.54 and 11,023.86

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Solution

The fourth proportional to 15,683, 23,524.54 and 11,023.86 is: 16,535.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,683 : 23,524.54 = 11,023.86 : x
  2. Step 2: Convert to fraction form
    15,683/23,524.54 = 11,023.86/x
  3. Step 3: Cross multiply
    15,683x = 23,524.54 × 11,023.86
  4. Step 4: Simplify right side
    15,683x = 259,331,151.00
  5. Step 5: Solve for x
    x = 259,331,151.00/15,683
  6. Step 6: Final answer
    x = 16,535.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.